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27898020 = 22345171013
BaseRepresentation
bin110101001101…
…1000010100100
31221111100220000
41222123002210
524120214040
62433541300
7456062223
oct152330244
957440800
1027898020
1114825217
129414830
135a1a307
1439c2cba
1526b1130
hex1a9b0a4

27898020 has 120 divisors (see below), whose sum is σ = 92756664. Its totient is φ = 6994944.

The previous prime is 27898019. The next prime is 27898021. The reversal of 27898020 is 2089872.

It is an interprime number because it is at equal distance from previous prime (27898019) and next prime (27898021).

It can be written as a sum of positive squares in 4 ways, for example, as 272484 + 27625536 = 522^2 + 5256^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27898021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27034 + ... + 28046.

Almost surely, 227898020 is an apocalyptic number.

27898020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27898020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46378332).

27898020 is an abundant number, since it is smaller than the sum of its proper divisors (64858644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27898020 is a wasteful number, since it uses less digits than its factorization.

27898020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 27898020 is about 5281.8576277670. The cubic root of 27898020 is about 303.2897923522.

The spelling of 27898020 in words is "twenty-seven million, eight hundred ninety-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1013 1020 1377 1530 1620 1836 2026 2295 2754 3039 3060 4052 4590 5065 5508 6078 6885 9117 9180 10130 12156 13770 15195 17221 18234 20260 27351 27540 30390 34442 36468 45585 51663 54702 60780 68884 82053 86105 91170 103326 109404 136755 154989 164106 172210 182340 206652 258315 273510 309978 328212 344420 410265 464967 516630 547020 619956 774945 820530 929934 1033260 1394901 1549890 1641060 1859868 2324835 2789802 3099780 4649670 5579604 6974505 9299340 13949010 27898020